Waec Further Mathematics 2010 Past Questions and Answers

Question 26:

• WAEC 2010

P, Q, R, S are points in a plane such that PQ = 8i - 5j, QR = 5i + 7j, RS = 7i + 3j and PS = xi + yj. Find (x, y).

A. (-6, -15)
B. (-6, 5)
C. (20, 5)
D. (20, 15)

Question 27:

• WAEC 2010

Find the least value of n for which ${}^{3n}{C}_2>0,n\in R$.

A. $\frac{1}{3}$
B. $\frac{1}{6}$
C. $\frac{2}{3}$
D. 1

Question 28:

• WAEC 2010

If $\overrightarrow{OA}=3i+4j$ and $\overrightarrow{OB}=5i-6j$ where O is the origin and M is the midpoint of AB, find OM.

A. -2i - 10j
B. -2i + 2j
C. 4i - j
D. 4i + j

Question 29:

• WAEC 2010

Find the direction cosines of the vector $4i-3j$.

A. $\frac{9}{10},\frac{27}{10}$
B. $\frac{17}{27},-\frac{17}{27}$
C. $\frac{4}{5},-\frac{3}{5}$
D. $\frac{4}{7},\frac{-3}{7}$

Question 30:

• WAEC 2010

Yomi was asked to label four seats S, R, P, Q. What is the probability he labelled them in alphabetical order?

A. $\frac{1}{24}$
B. $\frac{1}{6}$
C. $\frac{2}{13}$
D. $\frac{1}{4}$